TSTP Solution File: REL012+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:56:37 EDT 2024
% Result : Theorem 172.82s 23.77s
% Output : CNFRefutation 172.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] : complement(X0) = join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : complement(X0) = join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0))
=> complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f30]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
cnf(c_61,negated_conjecture,
join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)) != complement(sK0),
inference(cnf_transformation,[],[f32]) ).
cnf(c_74,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
cnf(c_75,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
cnf(c_76,negated_conjecture,
join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))) != complement(sK0),
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_105,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_112,plain,
complement(sK0) = sP0_iProver_def,
definition ).
cnf(c_113,plain,
composition(sK0,sK1) = sP1_iProver_def,
definition ).
cnf(c_114,plain,
complement(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_115,plain,
converse(sK1) = sP3_iProver_def,
definition ).
cnf(c_116,plain,
composition(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_117,plain,
join(sP0_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_118,negated_conjecture,
sP5_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_76,c_115,c_113,c_114,c_116,c_112,c_117]) ).
cnf(c_119,plain,
X0 = X0,
theory(equality) ).
cnf(c_120,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_195,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_203,plain,
join(complement(join(sP0_iProver_def,X0)),complement(join(sP0_iProver_def,complement(X0)))) = sK0,
inference(superposition,[status(thm)],[c_112,c_74]) ).
cnf(c_205,plain,
join(complement(join(sP2_iProver_def,X0)),complement(join(sP2_iProver_def,complement(X0)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_114,c_74]) ).
cnf(c_208,plain,
join(complement(join(complement(X0),sP1_iProver_def)),complement(join(complement(X0),sP2_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_114,c_74]) ).
cnf(c_211,plain,
join(complement(join(sP1_iProver_def,complement(X0))),complement(join(sP2_iProver_def,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_208,c_50,c_49]) ).
cnf(c_216,plain,
join(sK0,sP0_iProver_def) = top,
inference(superposition,[status(thm)],[c_112,c_59]) ).
cnf(c_217,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_105,c_59]) ).
cnf(c_218,plain,
join(sP1_iProver_def,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_114,c_59]) ).
cnf(c_219,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_221,plain,
join(sP0_iProver_def,sK0) = top,
inference(theory_normalisation,[status(thm)],[c_216,c_50,c_49]) ).
cnf(c_222,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_219,c_50,c_49]) ).
cnf(c_223,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_222,c_105]) ).
cnf(c_326,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_329,plain,
join(sP0_iProver_def,join(sP4_iProver_def,X0)) = join(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_117,c_50]) ).
cnf(c_331,plain,
join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_218,c_50]) ).
cnf(c_462,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_195]) ).
cnf(c_466,plain,
join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_217,c_195]) ).
cnf(c_467,plain,
join(sP1_iProver_def,join(X0,sP2_iProver_def)) = join(X0,top),
inference(superposition,[status(thm)],[c_218,c_195]) ).
cnf(c_478,plain,
join(sP0_iProver_def,join(X0,sP4_iProver_def)) = join(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_49,c_329]) ).
cnf(c_481,plain,
join(sP5_iProver_def,complement(sP4_iProver_def)) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_59,c_329]) ).
cnf(c_506,plain,
join(sP1_iProver_def,join(X0,sP2_iProver_def)) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_331]) ).
cnf(c_542,plain,
( sP0_iProver_def != X0
| sP5_iProver_def != X0
| sP5_iProver_def = sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_566,plain,
( sP0_iProver_def != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_542]) ).
cnf(c_567,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_568,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_583,plain,
join(complement(join(sP0_iProver_def,sP0_iProver_def)),complement(top)) = sK0,
inference(superposition,[status(thm)],[c_59,c_203]) ).
cnf(c_592,plain,
join(complement(top),complement(join(sP0_iProver_def,sP0_iProver_def))) = sK0,
inference(theory_normalisation,[status(thm)],[c_583,c_50,c_49]) ).
cnf(c_593,plain,
join(zero,complement(join(sP0_iProver_def,sP0_iProver_def))) = sK0,
inference(light_normalisation,[status(thm)],[c_592,c_105]) ).
cnf(c_680,plain,
join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_49,c_467]) ).
cnf(c_695,plain,
( sP0_iProver_def != X0
| sP5_iProver_def != X0
| sP0_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_757,plain,
( X0 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_792,plain,
( X0 != X1
| sP0_iProver_def != X1
| sP0_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_939,plain,
join(zero,complement(join(sP2_iProver_def,sP2_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_114,c_223]) ).
cnf(c_1254,plain,
( X0 != sP0_iProver_def
| sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_792]) ).
cnf(c_1255,plain,
sP0_iProver_def = sP0_iProver_def,
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_1436,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(join(sP2_iProver_def,X0),sP1_iProver_def),
inference(superposition,[status(thm)],[c_205,c_326]) ).
cnf(c_1505,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(sP1_iProver_def,join(X0,sP2_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_1436,c_50,c_49]) ).
cnf(c_1506,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_1505,c_506]) ).
cnf(c_1868,plain,
join(join(sP0_iProver_def,sP0_iProver_def),sK0) = join(zero,top),
inference(superposition,[status(thm)],[c_593,c_462]) ).
cnf(c_1870,plain,
join(join(sP2_iProver_def,sP2_iProver_def),sP1_iProver_def) = join(zero,top),
inference(superposition,[status(thm)],[c_939,c_462]) ).
cnf(c_1930,plain,
join(sP1_iProver_def,join(sP2_iProver_def,sP2_iProver_def)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_1870,c_50,c_49]) ).
cnf(c_1931,plain,
join(sP1_iProver_def,join(sP2_iProver_def,sP2_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_1930,c_217]) ).
cnf(c_1934,plain,
join(sP0_iProver_def,join(sP0_iProver_def,sK0)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_1868,c_50,c_49]) ).
cnf(c_1935,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_1934,c_217,c_221]) ).
cnf(c_1960,plain,
join(sP5_iProver_def,complement(sP4_iProver_def)) = top,
inference(demodulation,[status(thm)],[c_481,c_1935]) ).
cnf(c_1972,plain,
join(sP4_iProver_def,top) = join(sP5_iProver_def,top),
inference(superposition,[status(thm)],[c_1960,c_462]) ).
cnf(c_1975,plain,
join(sP2_iProver_def,top) = top,
inference(demodulation,[status(thm)],[c_1931,c_680]) ).
cnf(c_2011,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(join(sP1_iProver_def,complement(X0)),X0),
inference(superposition,[status(thm)],[c_211,c_326]) ).
cnf(c_2024,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(sP1_iProver_def,join(X0,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_2011,c_50,c_49]) ).
cnf(c_2025,plain,
join(top,X0) = join(sP1_iProver_def,top),
inference(light_normalisation,[status(thm)],[c_2024,c_59,c_1506]) ).
cnf(c_2041,plain,
join(X0,top) = join(sP1_iProver_def,top),
inference(demodulation,[status(thm)],[c_466,c_2025]) ).
cnf(c_2043,plain,
join(sP1_iProver_def,top) = top,
inference(demodulation,[status(thm)],[c_1975,c_2041]) ).
cnf(c_2044,plain,
join(sP1_iProver_def,top) = join(sP5_iProver_def,top),
inference(demodulation,[status(thm)],[c_1972,c_2041]) ).
cnf(c_2088,plain,
join(top,X0) = top,
inference(light_normalisation,[status(thm)],[c_2025,c_2043]) ).
cnf(c_2111,plain,
join(sP0_iProver_def,top) = join(sP5_iProver_def,top),
inference(superposition,[status(thm)],[c_2088,c_478]) ).
cnf(c_2117,plain,
join(sP5_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_2111,c_1935,c_2044]) ).
cnf(c_3182,plain,
( converse(converse(sP0_iProver_def)) != sP0_iProver_def
| sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def = converse(converse(sP0_iProver_def)) ),
inference(instantiation,[status(thm)],[c_1254]) ).
cnf(c_3183,plain,
converse(converse(sP0_iProver_def)) = sP0_iProver_def,
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_9348,plain,
( sP0_iProver_def != converse(converse(sP0_iProver_def))
| sP5_iProver_def != converse(converse(sP0_iProver_def))
| sP0_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_216690,plain,
( converse(converse(sP0_iProver_def)) != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = converse(converse(sP0_iProver_def)) ),
inference(instantiation,[status(thm)],[c_757]) ).
cnf(c_295262,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_295263,plain,
converse(sP3_iProver_def) = sK1,
inference(superposition,[status(thm)],[c_115,c_55]) ).
cnf(c_295272,plain,
join(complement(join(sP2_iProver_def,X0)),complement(join(sP2_iProver_def,complement(X0)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_114,c_74]) ).
cnf(c_295275,plain,
join(complement(join(complement(X0),sP1_iProver_def)),complement(join(complement(X0),sP2_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_114,c_74]) ).
cnf(c_295278,plain,
join(complement(join(sP1_iProver_def,complement(X0))),complement(join(sP2_iProver_def,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_295275,c_50,c_49]) ).
cnf(c_295285,plain,
join(sP1_iProver_def,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_114,c_59]) ).
cnf(c_295287,plain,
join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_295291,plain,
join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_295287,c_105]) ).
cnf(c_295298,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_295301,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_295304,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_295361,plain,
join(complement(X0),composition(sK1,complement(composition(sP3_iProver_def,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_295263,c_75]) ).
cnf(c_295372,plain,
composition(sP3_iProver_def,converse(X0)) = converse(composition(X0,sK1)),
inference(superposition,[status(thm)],[c_115,c_57]) ).
cnf(c_295373,plain,
composition(sK1,converse(X0)) = converse(composition(X0,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_295263,c_57]) ).
cnf(c_295388,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_295393,plain,
join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_295285,c_50]) ).
cnf(c_295397,plain,
join(sP5_iProver_def,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2117,c_50]) ).
cnf(c_295429,plain,
composition(sP3_iProver_def,converse(sK0)) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_113,c_295372]) ).
cnf(c_295443,plain,
composition(sK1,converse(sP2_iProver_def)) = converse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_116,c_295373]) ).
cnf(c_295511,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_295262]) ).
cnf(c_295524,plain,
join(complement(join(X0,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X0,X2))))) = X1,
inference(superposition,[status(thm)],[c_295262,c_74]) ).
cnf(c_295560,plain,
join(sP1_iProver_def,join(X0,sP2_iProver_def)) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_295393]) ).
cnf(c_296031,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_295298]) ).
cnf(c_296085,plain,
join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_296031,c_74]) ).
cnf(c_296099,plain,
join(sP5_iProver_def,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_296031,c_295397]) ).
cnf(c_296132,plain,
join(converse(sP5_iProver_def),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_296099,c_295301]) ).
cnf(c_296158,plain,
join(top,converse(sP5_iProver_def)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_296132,c_50,c_49]) ).
cnf(c_296189,plain,
join(top,converse(sP5_iProver_def)) = top,
inference(demodulation,[status(thm)],[c_296158,c_55]) ).
cnf(c_296562,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(join(sP2_iProver_def,X0),sP1_iProver_def),
inference(superposition,[status(thm)],[c_295272,c_295388]) ).
cnf(c_296636,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(sP1_iProver_def,join(X0,sP2_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_296562,c_50,c_49]) ).
cnf(c_296637,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(top,X0),
inference(light_normalisation,[status(thm)],[c_296636,c_295560]) ).
cnf(c_296917,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(join(sP1_iProver_def,complement(X0)),X0),
inference(superposition,[status(thm)],[c_295278,c_295388]) ).
cnf(c_296928,plain,
join(top,complement(join(sP2_iProver_def,complement(X0)))) = join(sP1_iProver_def,join(X0,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_296917,c_50,c_49]) ).
cnf(c_296929,plain,
join(top,X0) = join(sP1_iProver_def,top),
inference(light_normalisation,[status(thm)],[c_296928,c_59,c_296637]) ).
cnf(c_296950,plain,
join(sP1_iProver_def,top) = top,
inference(demodulation,[status(thm)],[c_296189,c_296929]) ).
cnf(c_297077,plain,
join(top,X0) = top,
inference(light_normalisation,[status(thm)],[c_296929,c_296950]) ).
cnf(c_297099,plain,
join(X0,top) = top,
inference(superposition,[status(thm)],[c_297077,c_295511]) ).
cnf(c_297103,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_297077,c_296031]) ).
cnf(c_297146,plain,
join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_297099,c_74]) ).
cnf(c_297164,plain,
join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_297146,c_105]) ).
cnf(c_297165,plain,
join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_297164,c_50,c_49]) ).
cnf(c_297215,plain,
join(zero,complement(top)) = zero,
inference(superposition,[status(thm)],[c_59,c_297165]) ).
cnf(c_297230,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_297215,c_105]) ).
cnf(c_297243,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_297230,c_50]) ).
cnf(c_297429,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_297165,c_297243]) ).
cnf(c_297437,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_297165,c_297429]) ).
cnf(c_298014,plain,
complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(demodulation,[status(thm)],[c_295291,c_297429]) ).
cnf(c_298029,plain,
join(complement(X0),complement(complement(complement(X0)))) = complement(join(X0,complement(complement(X0)))),
inference(superposition,[status(thm)],[c_298014,c_298014]) ).
cnf(c_298069,plain,
complement(complement(join(X0,complement(complement(X0))))) = X0,
inference(demodulation,[status(thm)],[c_298014,c_298029]) ).
cnf(c_298212,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_297437,c_297429]) ).
cnf(c_299782,plain,
complement(complement(join(X0,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_298069,c_298212]) ).
cnf(c_299783,plain,
join(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_299782,c_298212]) ).
cnf(c_299794,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_299783,c_50]) ).
cnf(c_385494,plain,
join(complement(join(X0,join(complement(X1),X2))),X1) = X1,
inference(superposition,[status(thm)],[c_295524,c_299794]) ).
cnf(c_385525,plain,
join(X0,complement(join(X1,join(complement(X0),X2)))) = X0,
inference(theory_normalisation,[status(thm)],[c_385494,c_50,c_49]) ).
cnf(c_490468,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_385525,c_385525]) ).
cnf(c_493755,plain,
join(X0,converse(complement(join(X1,complement(converse(X0)))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_490468,c_295298]) ).
cnf(c_494250,plain,
join(X0,converse(complement(join(X1,complement(converse(X0)))))) = X0,
inference(light_normalisation,[status(thm)],[c_493755,c_55]) ).
cnf(c_573837,plain,
join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(light_normalisation,[status(thm)],[c_296085,c_105,c_297103]) ).
cnf(c_573838,plain,
complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
inference(demodulation,[status(thm)],[c_573837,c_297429]) ).
cnf(c_573848,plain,
complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_298212,c_573838]) ).
cnf(c_680316,plain,
join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_573848,c_298212]) ).
cnf(c_680401,plain,
join(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_573848,c_494250]) ).
cnf(c_680440,plain,
join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_680316,c_298212]) ).
cnf(c_680583,plain,
join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(superposition,[status(thm)],[c_55,c_680440]) ).
cnf(c_681604,plain,
join(converse(complement(X0)),complement(converse(X0))) = converse(complement(X0)),
inference(superposition,[status(thm)],[c_680583,c_490468]) ).
cnf(c_681675,plain,
join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)),
inference(theory_normalisation,[status(thm)],[c_681604,c_50,c_49]) ).
cnf(c_681676,plain,
complement(converse(X0)) = converse(complement(X0)),
inference(light_normalisation,[status(thm)],[c_681675,c_680401]) ).
cnf(c_682074,plain,
complement(converse(sK0)) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_112,c_681676]) ).
cnf(c_682076,plain,
complement(converse(sP1_iProver_def)) = converse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_114,c_681676]) ).
cnf(c_682371,plain,
join(converse(sP0_iProver_def),composition(sK1,complement(composition(sP3_iProver_def,converse(sK0))))) = converse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_682074,c_295361]) ).
cnf(c_682393,plain,
join(converse(sP0_iProver_def),converse(sP4_iProver_def)) = converse(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_682371,c_295429,c_295443,c_682076]) ).
cnf(c_683466,plain,
converse(join(sP4_iProver_def,sP0_iProver_def)) = converse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_682393,c_295304]) ).
cnf(c_683467,plain,
converse(join(sP0_iProver_def,sP4_iProver_def)) = converse(sP0_iProver_def),
inference(theory_normalisation,[status(thm)],[c_683466,c_50,c_49]) ).
cnf(c_683468,plain,
converse(sP0_iProver_def) = converse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_683467,c_117]) ).
cnf(c_683524,plain,
converse(converse(sP0_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_683468,c_55]) ).
cnf(c_683631,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_683524,c_216690,c_9348,c_3183,c_3182,c_1255,c_567,c_566,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 19:48:48 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 172.82/23.77 % SZS status Started for theBenchmark.p
% 172.82/23.77 % SZS status Theorem for theBenchmark.p
% 172.82/23.77
% 172.82/23.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 172.82/23.77
% 172.82/23.77 ------ iProver source info
% 172.82/23.77
% 172.82/23.77 git: date: 2024-05-02 19:28:25 +0000
% 172.82/23.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 172.82/23.77 git: non_committed_changes: false
% 172.82/23.77
% 172.82/23.77 ------ Parsing...
% 172.82/23.77 ------ Clausification by vclausify_rel & Parsing by iProver...
% 172.82/23.77
% 172.82/23.77 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 172.82/23.77
% 172.82/23.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 172.82/23.77
% 172.82/23.77 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 172.82/23.77 ------ Proving...
% 172.82/23.77 ------ Problem Properties
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77 clauses 19
% 172.82/23.77 conjectures 1
% 172.82/23.77 EPR 1
% 172.82/23.77 Horn 19
% 172.82/23.77 unary 19
% 172.82/23.77 binary 0
% 172.82/23.77 lits 19
% 172.82/23.77 lits eq 19
% 172.82/23.77 fd_pure 0
% 172.82/23.77 fd_pseudo 0
% 172.82/23.77 fd_cond 0
% 172.82/23.77 fd_pseudo_cond 0
% 172.82/23.77 AC symbols 1
% 172.82/23.77
% 172.82/23.77 ------ Schedule UEQ
% 172.82/23.77
% 172.82/23.77 ------ Option_UEQ Time Limit: 10.
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77 ------
% 172.82/23.77 Current options:
% 172.82/23.77 ------
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77 ------ Proving...
% 172.82/23.77 Proof_search_loop: time out after: 2431 full_loop iterations
% 172.82/23.77
% 172.82/23.77 ------ Option_UEQ Time Limit: 15.
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77 ------ Proving...
% 172.82/23.77
% 172.82/23.77
% 172.82/23.77 % SZS status Theorem for theBenchmark.p
% 172.82/23.77
% 172.82/23.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 172.82/23.77
% 172.82/23.78
%------------------------------------------------------------------------------